Geometric Algebra and Einstein’s Electron

This thesis entitled Geometric algebra and einsteins electron: Deterministic field theories .The work in this thesis clarifies an important part of Koga’s theory.Koga also developed a theory of the electron incorporating its gravitational field, using his substitutes for Einstein’s equation.The third chapter deals with the application of geometric algebra to Koga’s approach of the Dirac equation. In chapter 4 we study some aspects of the work of mendel sachs (35,36,37,).Sachs stated aim is to show how quantum mechanics is a limiting case of a general relativistic unified field theory.Chapter 5 contains a critical study and comparison of the work of Koga and Sachs. In particular, we conclude that the incorporation of Mach’s principle is not necessary in Sachs’s treatment of the Dirac equation.

Some Problems In Algebra And Topology A Study Of Fuzzy Convexity With Special Reference To Separation Properties

This thesis is a study of abstract fuzzy convexity spaces and fuzzy topology fuzzy convexity spaces No attempt seems to have been made to develop a fuzzy convexity theoryin abstract situations. The purpose of this thesis is to introduce fuzzy convexity theory in abstract situations

STUDIES ON THE STRESS FLUCTUATIONS IN SHEARED STOKESIAN SUSPENSIONS USING CHAOS THEORY AND NONLINEAR DYNAMICS

The thesis report results obtained from a detailed analysis of the fluctuations of the rheological parameters viz. shear and normal stresses, simulated by means of the Stokesian Dynamics method, of a macroscopically homogeneous sheared suspension of neutrally buoyant non-Brownian suspension of identical spheres in the Couette gap between two parallel walls in the limit of vanishingly small Reynolds numbers using the tools of non-linear dynamics and chaos theory for a range of particle concentration and Couette gaps. The thesis used the tools of nonlinear dynamics and chaos theory viz. average mutual information, space-time separation plots, visual recurrence analysis, principal component analysis, false nearest-neighbor technique, correlation integrals, computation of Lyapunov exponents for a range of area fraction of particles and for different Couette gaps. The thesis observed that one stress component can be predicted using another stress component at the same area fraction. This implies a type of synchronization of one stress component with another stress component. This finding suggests us to further analysis of the synchronization of stress components with another stress component at the same or different area fraction of particles. The different model equations of stress components for different area fraction of particles hints at the possible existence a general formula for stress fluctuations with area fraction of particle as a parameter

On infinite graphs and related matrices

This thesis Entitled On Infinite graphs and related matrices.ln the last two decades (iraph theory has captured wide attraction as a Mathematical model for any system involving a binary relation. The theory is intimately related to many other branches of Mathematics including Matrix Theory Group theory. Probability. Topology and Combinatorics . and has applications in many other disciplines..Any sort of study on infinite graphs naturally involves an attempt to extend the well known results on the much familiar finite graphs. A graph is completely determined by either its adjacencies or its incidences. A matrix can convey this information completely. This makes a proper labelling of the vertices. edges and any other elements considered, an inevitable process. Many types of labelling of finite graphs as Cordial labelling, Egyptian labelling, Arithmetic labeling and Magical labelling are available in the literature. The number of matrices associated with a finite graph are too many For a study ofthis type to be exhaustive. A large number of theorems have been established by various authors for finite matrices. The extension of these results to infinite matrices associated with infinite graphs is neither obvious nor always possible due to convergence problems. In this thesis our attempt is to obtain theorems of a similar nature on infinite graphs and infinite matrices. We consider the three most commonly used matrices or operators, namely, the adjacency matrix

Thermodynamics of transfer of polar nonelectrolytes from water to aqueous salt solutions

The Setschenow parameter and thermodynamic parameters of transfer of a number of monosubstituted benzoic acids from water to different salt solutions have been reported. The data have been rationalized by considering the structure breaking effects of the ions of the salts, the localised hydrolysis model, the internal pressure theory and Symons' theory of water structure.

Recurrence Quantification Analysis of System Signals for Detecting Tool and Chatter in Turning

In this thesis, the applications of the recurrence quantification analysis in metal cutting operation in a lathe, with specific objective to detect tool wear and chatter, are presented.This study is based on the discovery that process dynamics in a lathe is low dimensional chaotic. It implies that the machine dynamics is controllable using principles of chaos theory. This understanding is to revolutionize the feature extraction methodologies used in condition monitoring systems as conventional linear methods or models are incapable of capturing the critical and strange behaviors associated with the metal cutting process.As sensor based approaches provide an automated and cost effective way to monitor and control, an efficient feature extraction methodology based on nonlinear time series analysis is much more demanding. The task here is more complex when the information has to be deduced solely from sensor signals since traditional methods do not address the issue of how to treat noise present in real-world processes and its non-stationarity. In an effort to get over these two issues to the maximum possible, this thesis adopts the recurrence quantification analysis methodology in the study since this feature extraction technique is found to be robust against noise and stationarity in the signals.The work consists of two different sets of experiments in a lathe; set-I and set-2. The experiment, set-I, study the influence of tool wear on the RQA variables whereas the set-2 is carried out to identify the sensitive RQA variables to machine tool chatter followed by its validation in actual cutting. To obtain the bounds of the spectrum of the significant RQA variable values, in set-i, a fresh tool and a worn tool are used for cutting. The first part of the set-2 experiments uses a stepped shaft in order to create chatter at a known location. And the second part uses a conical section having a uniform taper along the axis for creating chatter to onset at some distance from the smaller end by gradually increasing the depth of cut while keeping the spindle speed and feed rate constant.The study concludes by revealing the dependence of certain RQA variables; percent determinism, percent recurrence and entropy, to tool wear and chatter unambiguously. The performances of the results establish this methodology to be viable for detection of tool wear and chatter in metal cutting operation in a lathe. The key reason is that the dynamics of the system under study have been nonlinear and the recurrence quantification analysis can characterize them adequately.This work establishes that principles and practice of machining can be considerably benefited and advanced from using nonlinear dynamics and chaos theory.

A Study of Closure and Fuzzy Closure Spaces with Reference to H-Closedness and Convexity

Department of Mathematics, Cochin University of Science and Technology.

Entrepreneurship and Motivation in Small Business Sector of Kerala

This thesis Entitled entrepreneurship and motivation in small business sector of kerala -A study of rubber products manufacturing industry.Rubber-based industry in Kerala was established only in the first half of the 20th century.the number of licensed manufacturers in the State has increased substantially over the years, particularly in the post- independence period. 54 rubber manufacturing units in 1965-66, the number of licensed rubber-based industrial units has increased to 1300 units in 2001-02. In 2001-02 Kerala occupied the primary position in the number of rubber goods manufacturers in the country.As per the latest report of the Third All India Census of Small Scale Industries 2001-02, Kerala has the third largest number of registered small scale units in the country next after Tamil Nadu and Utter Pradesh.This study of entrepreneurship in the small-scale rubber goods manufacturing industry in Kerala compares a cross section of successful and unsuccessful entrepreneurs with respect to socio-economic characteristics and motivational dynamics. Based on a sample survey of 120 entrepreneurs of Kottayam and Ernakulam districts successful and unsuccessful entrepreneurs were selected using multiple criteria. The study provides guidelines for the development of entrepreneurship in Kerala.The results on the socio-economic survey support the hypothesis that the successful entrepreneurs will differ from unsuccessful entrepreneurs with respect to education, social contacts, initial investment, sales turnover, profits, capital employed, personal income, and number of employees.Successful entrepreneurs were found to be self~starters. Successful entrepreneurs adopted a lot more technological changes than unsuccessful entrepreneurs. Successful entrepreneurs were more innovative — the percent of successful entrepreneurs and unsuccessful entrepreneurs reporting innovations in business were 31.50 and 8.50 percent respectively.

Customer perceptions of Banking Products and Services in Kerala with reference to Specific Customer Segments in the Urban Area

As of 1999. the state of Kerala has 3210 offices of scheduled commercial banks (SCBS). In all, there are 48 commercial banks operating in Kerala, which includes PSBs, OPBs, NPBS. FBs, and Gramin Banks. The urban areas give a complete picture of the competition in the present day banking scenario with the presence of all bank groups. Semi-urban areas of Kerala have 2196 and urban areas have 593 as on March 1995.“ The study focuses on the selected segments ofthe urban customers in Kerala which is capable of giving the finer aspects of variation in customer behaviour in the purchase of banking products and services. Considering the exhaustive nature of such an exercise, all the districts in the state have not been brought under the purview of the study. Instead. three districts with largest volume of business in terms of deposits, advances, and number of offices have been short listed as representative regions for a focused study. The study focuses on the retail customer segment and their perceptions on the various products or services offered to them. Non Resident Indians (NRIs), and Traders and Small—ScaIe Industries segments have also been included in the study with a view to obtain a comparative picture with respect to perception on customer satisfaction and service quality dimensions and bank choice behaviour. The research is hence confined to customer behaviour and the implications for possible strategies for segmentation within the retail segment customers